88152576 has 80 divisors (see below), whose sum is σ = 243064800. Its totient is φ = 28356608.

The previous prime is 88152563. The next prime is 88152601. The reversal of 88152576 is 67525188.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43555 + ... + 45533.

It is an arithmetic number, because the mean of its divisors is an integer number (3038310).

Almost surely, 2^88152576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88152576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121532400).

88152576 is an abundant number, since it is smaller than the sum of its proper divisors (154912224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88152576 is a wasteful number, since it uses less digits than its factorization.

88152576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2013 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 88152576 is about 9388.9603258295. The cubic root of 88152576 is about 445.0529348299.

The spelling of 88152576 in words is "eighty-eight million, one hundred fifty-two thousand, five hundred seventy-six".